Pith Number

pith:DE6XYRTK

pith:2010:DE6XYRTKWJLR7YSFA6JQI6ZBHM

not attested not anchored not stored refs pending

Theory of self-learning $Q$-matrix

Gongjun Xu, Jingchen Liu, Zhiliang Ying

arxiv:1010.6120 v3 · 2010-10-29 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DE6XYRTKWJLR7YSFA6JQI6ZBHM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:23:38.280499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193d7c466ab2571fe2450793047b213b31bb83830c74c90edae10706b178b552

Aliases

arxiv: 1010.6120 · arxiv_version: 1010.6120v3 · doi: 10.48550/arxiv.1010.6120 · pith_short_12: DE6XYRTKWJLR · pith_short_16: DE6XYRTKWJLR7YSF · pith_short_8: DE6XYRTK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DE6XYRTKWJLR7YSFA6JQI6ZBHM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 193d7c466ab2571fe2450793047b213b31bb83830c74c90edae10706b178b552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16085afd2da63f82742c08984a0873a453fefb0f57a96d679876452e01e74c25",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-10-29T03:43:40Z",
    "title_canon_sha256": "1f72af43850028b760c7479f083c27bb4e1deaafbb9eaec7f632b1d402fe0e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6120",
    "kind": "arxiv",
    "version": 3
  }
}